# Category:Definitions/Normed Dual Spaces

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This category contains definitions related to normed dual spaces.

Related results can be found in Category:Normed Dual Spaces.

Let $\struct {X, \norm \cdot_X}$ be a normed vector space.

Let $X^\ast$ be the vector space of bounded linear functionals on $X$.

Let $\norm \cdot_{X^\ast}$ be the norm on bounded linear functionals.

We say that $\struct {X^\ast, \norm \cdot_{X^\ast} }$ is the **normed dual space** of $X$.

## Subcategories

This category has only the following subcategory.

### S

## Pages in category "Definitions/Normed Dual Spaces"

The following 3 pages are in this category, out of 3 total.